1. Determine the value for the constant "k" that will make the function below a PDF. f(x)...

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1. Determine the value for the constant "k" that will make thefunction below a PDF.
f(x) = k x^4 for x in (0,2) and f(x) = 0, for all other x ; k=
A. 8/3 B. 3/8 C. 3/64 D. 22/7 E. None of these
2. In a dice tossing random experiment , a red die and a greendie are thrown independently . Consider as a random variable, X,the range in showing dots. for example if the red die is 6 and thegreen die is 4 , then the random variable has a value of 2 in thatexperiment. Calculate the probability, Pr(x=1) =
A) .278 B) .167 C) .111 D) .0556
3. Assume Z is a standard normal random variable, what is thearea to right of z = -1.23
A) .1093 B) .8907 C) .3594 D) .6406 E) None ofthese

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SolutionQuestion 1GivenWe have to find value of k such that fx becomes a PDFThus if fx is a PDF then it must satisfy followingpropertySince none of the option shows value See Answer

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